Solved: A rocket, starting from rest, travels straight up

Chapter 16, Problem 16.115

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A rocket, starting from rest, travels straight up with an acceleration of 58.0 m/s2 . When the rocket is at a height of 562 m, it produces sound that eventually reaches a ground-based monitoring station directly below. The sound is emitted uniformly in all directions. The monitoring station measures a sound intensity I. Later, the station measures an intensity There are no reflections. Assuming that the speed of sound is 343 m/s, find the time that has elapsed between the two measurements

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